Two remarkable doubly exponential series transformations of Ramanujan

Bruce C. Berndt; James Lee Hafner

doi:10.1007/BF02830888

Two remarkable doubly exponential series transformations of Ramanujan

Bruce C. Berndt, James Lee Hafner

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The purpose of this note is to prove two doubly exponential series transformations found in Ramanujan's second notebook.

Original language	English (US)
Pages (from-to)	245-252
Number of pages	8
Journal	Proceedings Mathematical Sciences
Volume	104
Issue number	1
DOIs	https://doi.org/10.1007/BF02830888
State	Published - Feb 1994

Keywords

Bernoulli numbers
Doubly exponential series
Poisson summation
gamma function

ASJC Scopus subject areas

General Mathematics

Online availability

10.1007/BF02830888

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title = "Two remarkable doubly exponential series transformations of Ramanujan",

abstract = "The purpose of this note is to prove two doubly exponential series transformations found in Ramanujan's second notebook.",

keywords = "Bernoulli numbers, Doubly exponential series, Poisson summation, gamma function",

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Two remarkable doubly exponential series transformations of Ramanujan

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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